Estimating species richness by a poisson-compound gamma model

Jiping Wang*

*Corresponding author for this work

Research output: Contribution to journalArticle

22 Scopus citations

Abstract

We propose a Poisson-compound gamma approach for species richness estimation. Based on the denseness and nesting properties of the gamma mixture, we fix the shape parameter of each gamma component at a unified value, and estimate the mixture using nonparametric maximum likelihood. A least-squares crossvalidation procedure is proposed for the choice of the common shape parameter. The performance of the resulting estimator of N is assessed using numerical studies and genomic data.

Original languageEnglish (US)
Pages (from-to)727-740
Number of pages14
JournalBiometrika
Volume97
Issue number3
DOIs
StatePublished - Sep 1 2010

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Keywords

  • Crossvalidation
  • Nesting property of gamma mixtures
  • Nonparametric maximum likelihood estimation
  • Poisson-compound gamma model
  • Species richness estimation

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Agricultural and Biological Sciences (miscellaneous)
  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics
  • Statistics, Probability and Uncertainty

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